TL;DR
This paper revises the concept of quasi-sectorial contractions and establishes a key relation between these contractions and m-sectorial generators, with implications for operator-norm approximations of semigroups.
Contribution
It introduces a revised notion of quasi-sectorial contractions and proves a main theorem linking them to m-sectorial generators.
Findings
Established a relation between quasi-sectorial contractions and m-sectorial generators
Discussed applications to operator-norm approximations of semigroups
Provided theoretical insights into the structure of contraction semigroups
Abstract
We revise the notion of the quasi-sectorial contractions. Our main theorem establishes a relation between semigroups of quasi-sectorial contractions and a class of m-sectorial generators. We discuss a relevance of this kind of contractions to the theory of operator-norm approximations of strongly continuous semigroups.
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Taxonomy
TopicsHousing, Finance, and Neoliberalism · Political Economy and Marxism · Law, Economics, and Judicial Systems